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an epidemic has hit clinton city. its population is declining 22% every hour. in just 4 hours, there are only 35,542 people left in the city. what was the initial population in the city before the epidemic broke out?
a.) 14,742
b.) 85,688
c.) 14,743

B.) 85,688

Step-by-step explanation:

The exponential decay equation is given by :-

, where A is the initial amount , r is the rate of decay and t is time period.

Given : Rate of decay for every hour:

Time period :

Put y = 35,542 , r = 0.22 and t=4 in the above equation , we get

Hence, the initial population in the city before the epidemic broke out =85,688

360/29

step-by-step explanation: